In this lesson am only putting one question because its the easiest one to explain

Question 1

Step 1: See the points on the graph you need to find the speed for distance and time, the vertical line is distance and the horizontal

line is time.

Step 2: Now look at the points for O and P and then put both coordinates in a T chart from O has 0 to 3 and P has o to 300

Step 3: Now divide 300 over 3, we do this because o + 3 = 3 and 0 + 300 = 300 we use what number is needed to make 3 or 300

Answer: 100

Now try the same process for P and Q, Q and R

sorry is image is blurry

P = Blue

K = Purple

L = Red

This assignment was hard at first but after I understood how to do it all it took was some trial and error.

All you need to know is what this equation is.

Question 1)

Step 1: First replace the M with the 4.

Step 2: Next replace the B with a negative.

Answer: Y=4x – 6

Question 2)

Step 1: this is no different then the first question.

Answer: Y=-4 over 3x + 3

Functions is not to hard for it just takes time to understand.

am only going to show how to do an equation that involves f(x), (f can be any letter).

Question 1 and 2

Question 1

Step 1: The P(x) is saying that X is 6 which means the X in the function also equals 6

Step 2: Now just do simple multiplication and addition.

Answer: P(x) = 32

Question 2

Step 1: This time the P(b) is equal to 6 this a bit more difficult to understand but all you have to do is replace P(b) with the function since P(x) equals the function.

Step 2: Now we want to isolate X so first we move the six with the two since they are don’t have any variables.

Step 3: Now we want to just have X so you need to divide both the 5x and 4 by 5

Answer: 4 over 5

The variable used for inputs in a relation is known as the independent variable.

The variable used for outputs in a relation is known as the dependent variable

So for example A=2r, r is the independent because it is an input and A is the output because it is the answer for 2r

Question 1) which is the input and output

C = 7x

Answer: X = input  C = output

Question 2) which is the input and output

D = 4n + 5

Answer: N = input   D = output

Multiplying polynomials is not hard but it does take a bit of time to understand the questions.

Question 1)

Step 1) First you need to multiply the X in the first set of brackets with the X and 9 in the second set of brackets, when you times an X with another X you get X square and with a 9 you get 9x

Step 2) Next multiply the 9 in the first set of brackets with the X and 9 in the second set of brackets and remember the nine is a negative.

Step 3) Now all you have to do is subtract 9x with 9x because they are the only two numbers with x as there letter.

Answer: X square + 9x – 9x – 81

Question 2)

Step 1) this question is little different, notice the exponent on the brackets it does not mean you need to square the X or eight in the brackets because this is polynomials you need to make to copies of the (X – 8)

Step 2) Now just do what you did in the first question.

Answer: X square – 16x + 64

Factoring binominals is easy its just finding the square root of a number or letter, all you need is the knowledge to divide and a calculator.

Question 1)

Step 1) (Because there is no square root of one you can use one twice)

Step 2) X square is just X + X so you can square root it

Step 3) Put an X + 1 in brackets and do the same thing again since there are two x + 1

Answer: (x+1) (x+1)

Question 2)

Step 1) tis question is the same concept as question 1 but this time you need to add a minus to one of the sevens because the question has a negative 49.

Answer: (x+7) (x-7)

Factoring trinomials is not hard if you can or want to use my method of solving it.

( Questions made by me)

Question 1)

Step 1: First make a square, than make a cross inside the square.

Step 2: Now put the X square in the top left part of the box and put the product or 3 in the bottom right box, the reason we are doing this is because 3 is a number on its own meaning it has no letters with it.

Step 3: Now try to figure out what two numbers can multiply to make 3 but also add to make 4 we need to do this in order to find the numbers that would start this question.

Step 4: Now put two X’s on the top left corner of the box as X multiply by X equals X square then add a 3 and 1 with one of the X’s, it doesn’t matter where you put them (Look at the image above to better understand what am talking about).

Step 5: Now put the X and 3 together and do the same thing for the other X and 1 with brackets.

Answer: (X+3)(X+1)

Question 2

Step 1: Just do the same thing as you did in the first question, but for this question you just to use some minuses and remember a negative times a negative equals a positive.

Answer: (X-5)(X-2)

Am only going to explain am only going to explain how to classify polynomials

There are four words that can describe a polynomial

Monomial = 1

Binomial = 2

Trinomial = 3

Polynomial = 4 or more

Here’s an example of a Binomial

Example: X + 4

this is considered a binomial because there are two different numbers in it, now a going to give you a few questions so you can see if you understand, something else I should tell you if you see a number like 2x it is monomial because it is technically one number

Question 1: 3x

Answer: Monomial

Question 2: 2x + X + 2

Answer: Trinomial

Question 3: 3xy – 2x – XY – 2 + 1

Answer: Polynomial

Question 4: X + 3

Answer: Binomial